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Simplifying 6(-5w + -19) = -13w + 6 + -9w Reorder the terms: 6(-19 + -5w) = -13w + 6 + -9w (-19 * 6 + -5w * 6) = -13w + 6 + -9w (-114 + -30w) = -13w + 6 + -9w Reorder the terms: -114 + -30w = 6 + -13w + -9w Combine like terms: -13w + -9w = -22w -114 + -30w = 6 + -22w Solving -114 + -30w = 6 + -22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22w' to each side of the equation. -114 + -30w + 22w = 6 + -22w + 22w Combine like terms: -30w + 22w = -8w -114 + -8w = 6 + -22w + 22w Combine like terms: -22w + 22w = 0 -114 + -8w = 6 + 0 -114 + -8w = 6 Add '114' to each side of the equation. -114 + 114 + -8w = 6 + 114 Combine like terms: -114 + 114 = 0 0 + -8w = 6 + 114 -8w = 6 + 114 Combine like terms: 6 + 114 = 120 -8w = 120 Divide each side by '-8'. w = -15 Simplifying w = -15
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